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Fifth Grade (Grade 5) Logical Thinking Questions

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Grade 5 Logical Thinking
There was a Magic Number written on a piece of paper, hidden in a box. Corwin had to figure out what that number was. He was given the following clues:
1. The Magic Number is even
2. The Magic Number, MULTIPLIED by itself, has the same result as the magic number ADDED to itself.
3. The Magic Number, divided in half is a prime number.

What is the Magic Number?
Grade 5 Logical Thinking
Braxton and Luis found a check that belonged to Mrs. Quarles. The check was in the amount of $2,546.31. The decided that the wanted to pull a prank on Mrs. Quarles and switch around the numbers on her check. They did not have a lot of time so they were only allowed to switch one number.

In order to give Mrs. Quarles the least amount of money possible with only switching one number, which number should they switch?

What is the new amount of Mrs. Quarles check?

PROVE HOW THE NEW AMOUNT IS NOW THE SMALLEST!
Grade 5 Logical Thinking
Aaron made a conjecture that any number ending in zero will be divisible by 4. Test his conjecture. Explain whether it is correct or incorrect.
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